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3 years ago

Urgent! Please answer using the screenshot below!!

Mathematics

1 answer:

NemiM [27]3 years ago

8 0

Answer:

h = 12 units

Step-by-step explanation:

Area of a Parallelogram = base × perpendicular height (A = b × h)

In the diagram above we can obtain the following:

Area = 72 units²
perpendicular height = h
base = 6

(Please Note: the base of a parallelogram must be perpendicular to its height; in this case it is the side measuring 6 units that is perpendicular to the height)

Since A = b × h

⇒ A ÷ b = b ÷ b × h (dividing both sides by b)

⇒ h = A ÷ b (making h the subject of the eq'n)

thus h = 72 unit² ÷ 6 units

= 12 units

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9) Write an equation of the line that passes through the point (4, –5) with slope 2.

aleksklad [387]

Answer:

Step-by-step explanation:

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3 years ago

Pls pls help I’m really confused could someone explain to me pls

kenny6666 [7]

Answer: 11.6

--------------------------------------

Explanation:

See the attached image for a visual reference

The distance from point D to E is 21 units. Point C is the midpoint, so CD is 10.5 units long (21/2 = 10.5)

We have a right triangle ACD. The legs are
AC = 5
CD = 10.5
The hypotenuse is
AD = x
Because AD is another radius of the same circle

Use the pythagorean theorem to find x
a^2 + b^2 = c^2
5^2 + 10.5^2 = x^2
25 + 110.25 = x^2
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x = 11.629703349613
which rounds to 11.6 when rounding to the nearest tenth (one decimal place)

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3 years ago

The length of a rectangular painting is 3 inches longer than its width. If the diagonal is 15 inches long, what is the length of

masya89 [10]

Answer: D, 18 inches

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8 0

3 years ago

What is 28 over 36 in simplest form

Amanda [17]

28/36 has a greatest common factor of 4.
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28 divided by 4/36 divided by 4
7/9

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7 0

3 years ago

Read 2 more answers

Find the distance between P(2, 8) and Q(5, 3).

swat32

Answer:

The distance (d) between two points (x1,y1) and (x2,y2) is given by the formula

d = √ ((X2-X1)2+(Y2-Y1)2)

d = √ (5-2)2+(3-8)2

d = √ ((3)2+(-5)2)

d = √ (9+25)

d = √ 34

The distance between the points is 5.8309518948453

The midpoint of two points is given by the formula

Midpoint= ((X1+X2)/2,(Y1+Y2)/2)

Find the x value of the midpoint

Xm=(X1+X2)/2

Xm=(2+5)/2=3.5

Find the Y value of the midpoint

Ym=(Y1+Y2)/2

Ym=(8+3)/2=5.5

The midpoint is: (3.5,5.5)

Graphing the two points, midpoint and distance

P1 (2,8)

P2 (5,3)

Midpoint (3.5,5.5)

The length of the black line is the distance between the points (5.8309518948453)

Find the slope of the line connecting the two points

Slope = (Y2-Y1) = (3-8) = (-5) = -1.66666666666667

(X2-X1) (5-2) (3)

Find the equation of the line passing through the two points

The general equation for a straight line is

y = mx + b

Where m represents the slope of the line which we found in the previous step to be -1.66666666666667

y = -1.67x + b

We substitute x and y for the values from one of our points (2,8)

8 = -1.67×2 + b

8 = -3.33 + b

8--3.33 = b

11.33 = b

Knowing both b and m, we can contruct the equation of the line

y= -1.67x+ 11.33

X and Y intercepts

The x-intercept is a point on the graph where y is zero

Using the equation we found in the previous step and substituting zero for y

y= -1.67x+ 11.33

0= -1.67x+ 11.33

1.67x= 11.33

x= 11.33/1.67 = 6.80

The x intercept for this straight line is 6.80

The y-intercept is a point on the graph where x is zero

Using the equation we found in the previous step and substituting zero for x

y= -1.67×0+ 11.33

y= 11.33

The y intercept for this straight line is 6.80

References

refernce image showing the distance between two points on the xy plane

Step-by-step explanation:

8 0

3 years ago